A point P is given on the circumference of a circle of radius r. Chord QR is parallel to the tangent at P. Determine the maximum possible area of the triangle PQR.

A point P is given on the circumference of a circle of radius r. The chord QR is parallel to the tangent line at P. Find the maximum area of the triangle PQR.

From a fixed point A on the circumference of a circle of radius r , the perpendicular A Y falls on the tangent at Pdot Find the maximum area of triangle A P Ydot

If a point P is 17 cm from the centre of a circle of radius 8 cm, then find the length of the tangent drawn to the circle from point P.

There are n distinct points on the circumference of a circle. If the number of pentagons that can be formed with these points as vertices is equal to the number of possible triangles, then the value of n is-

Construct a circle of radius 2.4 cm . Also draw a tangent at any point on the circumference of that circle.

In vacuum, three small spheres are placed on the circumference of a circle of radius r in such a way that an equilateral triangle is formed. If q be the charge on each sphere, determine the intensity of electric field and potential at the centre of the circle.

A tangent is drawn to the parabola y^2=4 x at the point P whose abscissa lies in the interval (1, 4). The maximum possible area of the triangle formed by the tangent at P , the ordinates of the point P , and the x-axis is equal to

PQ is a chord of length 8cm of a circle of radius 5cm . The tangents at P and Q intersect at a point T ( See figure). Find the length of TP.

Points A, B, C lie on the parabola y^2=4ax The tangents to the parabola at A, B and C, taken in pair, intersect at points P, Q and R. Determine the ratio of the areas of the triangle ABC and triangle PQR

Let PQ and RS be tangents at the extremities of one diameter PR of a circle of radius r. If PS and RQ intersect at a point X on the circumference of the circle, than (2r)/sqrt(PQ cdot RS) equals_____